Nuprl Lemma : ses-private-one-one
∀[s:SES]. ∀[A,B:Id].  uiff(PrivateKey(A) = PrivateKey(B) ∈ Key;A = B ∈ Id) supposing PropertyK
Proof
Definitions occuring in Statement : 
ses-K: PropertyK
, 
ses-private-key: PrivateKey(A)
, 
security-event-structure: SES
, 
encryption-key: Key
, 
Id: Id
, 
uiff: uiff(P;Q)
, 
uimplies: b supposing a
, 
uall: ∀[x:A]. B[x]
, 
equal: s = t ∈ T
Definitions unfolded in proof : 
ses-private-key: PrivateKey(A)
, 
encryption-key: Key
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
uimplies: b supposing a
, 
uiff: uiff(P;Q)
, 
and: P ∧ Q
, 
prop: ℙ
, 
guard: {T}
, 
ses-K: PropertyK
, 
all: ∀x:A. B[x]
, 
iff: P 
⇐⇒ Q
, 
implies: P 
⇒ Q
Latex:
\mforall{}[s:SES].  \mforall{}[A,B:Id].    uiff(PrivateKey(A)  =  PrivateKey(B);A  =  B)  supposing  PropertyK
Date html generated:
2016_05_17-PM-00_26_21
Last ObjectModification:
2015_12_29-PM-06_38_25
Theory : event-logic-applications
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